Maximal CP Violation Hypothesis and a Lepton Mixing Matrix
arXiv:0811.2839 · doi:10.1103/PhysRevD.79.093005
Abstract
Maximal CP violation hypothesis is applied to a simple lepton mixing matrix form U=V_{CKM}^\dagger U_{TB}, which has recently been speculated under an ansatz that U becomes an exact tribimaximal mixing U_{TB} in a limit of the quark mixing matrix V_{CKM} \to {\bf 1}. The prediction \tan^2 θ_{12} =1/2 in the case of the exact tribimaximal mixing U=U_{TB} is onsiderably spoiled in the speculated mixing U=V_{CKM}^\dagger U_{TB}. However, the application of the hypothesis to the lepton sector can again recover the spoiled value to \tan^2 θ_{12} \simeq 1/2 if the original Kobayashi-Maskawa phase convention for V_{CKM} is adopted.
10 pages, 4 figure, version in Phys.Rev.D
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- Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant
- Parametrization of fermion mixing matrices in Kobayashi-Maskawa form
- A prediction of neutrino mixing matrix with CP violating phase
- Simple parametrization of neutrino mixing matrix
- How can CP violation in the neutrino sector be large in a symmetric model?